Cremona's table of elliptic curves

11550 = 2 · 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	11550bw	Isogeny class
Conductor	11550	Conductor
∏ cp	138	Product of Tamagawa factors cp
deg	165600	Modular degree for the optimal curve
Δ	-407991091200000000 = -1 · 223 · 3 · 58 · 73 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7+ 11+ -1  5 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,36487,-30598969]	[a1,a2,a3,a4,a6]
Generators	[335:4232:1]	Generators of the group modulo torsion
j	13752365416655/1044457193472	j-invariant
L	5.5887018307428	L(r)(E,1)/r!
Ω	0.14247255627504	Real period
R	0.28425010691202	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92400ii1 34650bs1 11550x1 80850ha1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bw1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-	+	+	-1	5	-8	-1	3	3	-4	3	9	2	-9	5	-5	-12	8	-2	-14	-5	-2	12

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Quadratic twists for elliptic curve 11550bw1

-4	-3	5	-7	-11
92400ii1	34650bs1	11550x1	80850ha1	127050cb1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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